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Finding the Fourth Proportional to 12,758.78, 19,126.83 and 4,965.77

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Solution

The fourth proportional to 12,758.78, 19,126.83 and 4,965.77 is: 7,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.78 : 19,126.83 = 4,965.77 : x
  2. Step 2: Convert to fraction form
    12,758.78/19,126.83 = 4,965.77/x
  3. Step 3: Cross multiply
    12,758.78x = 19,126.83 × 4,965.77
  4. Step 4: Simplify right side
    12,758.78x = 94,979,438.61
  5. Step 5: Solve for x
    x = 94,979,438.61/12,758.78
  6. Step 6: Final answer
    x = 7,444.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.